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Simplifying 4(y + -2) + -3y = 2(y + -6) Reorder the terms: 4(-2 + y) + -3y = 2(y + -6) (-2 * 4 + y * 4) + -3y = 2(y + -6) (-8 + 4y) + -3y = 2(y + -6) Combine like terms: 4y + -3y = 1y -8 + 1y = 2(y + -6) Reorder the terms: -8 + 1y = 2(-6 + y) -8 + 1y = (-6 * 2 + y * 2) -8 + 1y = (-12 + 2y) Solving -8 + 1y = -12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -8 + 1y + -2y = -12 + 2y + -2y Combine like terms: 1y + -2y = -1y -8 + -1y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 -8 + -1y = -12 + 0 -8 + -1y = -12 Add '8' to each side of the equation. -8 + 8 + -1y = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = -12 + 8 -1y = -12 + 8 Combine like terms: -12 + 8 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4
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