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Simplifying -42 + 13y + 4 = 4(4y + -3) + -5 Reorder the terms: -42 + 4 + 13y = 4(4y + -3) + -5 Combine like terms: -42 + 4 = -38 -38 + 13y = 4(4y + -3) + -5 Reorder the terms: -38 + 13y = 4(-3 + 4y) + -5 -38 + 13y = (-3 * 4 + 4y * 4) + -5 -38 + 13y = (-12 + 16y) + -5 Reorder the terms: -38 + 13y = -12 + -5 + 16y Combine like terms: -12 + -5 = -17 -38 + 13y = -17 + 16y Solving -38 + 13y = -17 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -38 + 13y + -16y = -17 + 16y + -16y Combine like terms: 13y + -16y = -3y -38 + -3y = -17 + 16y + -16y Combine like terms: 16y + -16y = 0 -38 + -3y = -17 + 0 -38 + -3y = -17 Add '38' to each side of the equation. -38 + 38 + -3y = -17 + 38 Combine like terms: -38 + 38 = 0 0 + -3y = -17 + 38 -3y = -17 + 38 Combine like terms: -17 + 38 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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