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Simplifying 2(2y + -4) + 5 = 4(4y + -3) + 10 Reorder the terms: 2(-4 + 2y) + 5 = 4(4y + -3) + 10 (-4 * 2 + 2y * 2) + 5 = 4(4y + -3) + 10 (-8 + 4y) + 5 = 4(4y + -3) + 10 Reorder the terms: -8 + 5 + 4y = 4(4y + -3) + 10 Combine like terms: -8 + 5 = -3 -3 + 4y = 4(4y + -3) + 10 Reorder the terms: -3 + 4y = 4(-3 + 4y) + 10 -3 + 4y = (-3 * 4 + 4y * 4) + 10 -3 + 4y = (-12 + 16y) + 10 Reorder the terms: -3 + 4y = -12 + 10 + 16y Combine like terms: -12 + 10 = -2 -3 + 4y = -2 + 16y Solving -3 + 4y = -2 + 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. -3 + 4y + -16y = -2 + 16y + -16y Combine like terms: 4y + -16y = -12y -3 + -12y = -2 + 16y + -16y Combine like terms: 16y + -16y = 0 -3 + -12y = -2 + 0 -3 + -12y = -2 Add '3' to each side of the equation. -3 + 3 + -12y = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -12y = -2 + 3 -12y = -2 + 3 Combine like terms: -2 + 3 = 1 -12y = 1 Divide each side by '-12'. y = -0.08333333333 Simplifying y = -0.08333333333
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