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Simplifying -3(4y + 4) + -18 = -8(y + 5) + 4y Reorder the terms: -3(4 + 4y) + -18 = -8(y + 5) + 4y (4 * -3 + 4y * -3) + -18 = -8(y + 5) + 4y (-12 + -12y) + -18 = -8(y + 5) + 4y Reorder the terms: -12 + -18 + -12y = -8(y + 5) + 4y Combine like terms: -12 + -18 = -30 -30 + -12y = -8(y + 5) + 4y Reorder the terms: -30 + -12y = -8(5 + y) + 4y -30 + -12y = (5 * -8 + y * -8) + 4y -30 + -12y = (-40 + -8y) + 4y Combine like terms: -8y + 4y = -4y -30 + -12y = -40 + -4y Solving -30 + -12y = -40 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -30 + -12y + 4y = -40 + -4y + 4y Combine like terms: -12y + 4y = -8y -30 + -8y = -40 + -4y + 4y Combine like terms: -4y + 4y = 0 -30 + -8y = -40 + 0 -30 + -8y = -40 Add '30' to each side of the equation. -30 + 30 + -8y = -40 + 30 Combine like terms: -30 + 30 = 0 0 + -8y = -40 + 30 -8y = -40 + 30 Combine like terms: -40 + 30 = -10 -8y = -10 Divide each side by '-8'. y = 1.25 Simplifying y = 1.25
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