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Simplifying -1(-16y + -28) + 19y + -1(23y + -38) = -1(14y + -33) Reorder the terms: -1(-28 + -16y) + 19y + -1(23y + -38) = -1(14y + -33) (-28 * -1 + -16y * -1) + 19y + -1(23y + -38) = -1(14y + -33) (28 + 16y) + 19y + -1(23y + -38) = -1(14y + -33) Reorder the terms: 28 + 16y + 19y + -1(-38 + 23y) = -1(14y + -33) 28 + 16y + 19y + (-38 * -1 + 23y * -1) = -1(14y + -33) 28 + 16y + 19y + (38 + -23y) = -1(14y + -33) Reorder the terms: 28 + 38 + 16y + 19y + -23y = -1(14y + -33) Combine like terms: 28 + 38 = 66 66 + 16y + 19y + -23y = -1(14y + -33) Combine like terms: 16y + 19y = 35y 66 + 35y + -23y = -1(14y + -33) Combine like terms: 35y + -23y = 12y 66 + 12y = -1(14y + -33) Reorder the terms: 66 + 12y = -1(-33 + 14y) 66 + 12y = (-33 * -1 + 14y * -1) 66 + 12y = (33 + -14y) Solving 66 + 12y = 33 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. 66 + 12y + 14y = 33 + -14y + 14y Combine like terms: 12y + 14y = 26y 66 + 26y = 33 + -14y + 14y Combine like terms: -14y + 14y = 0 66 + 26y = 33 + 0 66 + 26y = 33 Add '-66' to each side of the equation. 66 + -66 + 26y = 33 + -66 Combine like terms: 66 + -66 = 0 0 + 26y = 33 + -66 26y = 33 + -66 Combine like terms: 33 + -66 = -33 26y = -33 Divide each side by '26'. y = -1.269230769 Simplifying y = -1.269230769
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