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Simplifying -46 + 11y + 6 = 4(4y + -3) + -3 Reorder the terms: -46 + 6 + 11y = 4(4y + -3) + -3 Combine like terms: -46 + 6 = -40 -40 + 11y = 4(4y + -3) + -3 Reorder the terms: -40 + 11y = 4(-3 + 4y) + -3 -40 + 11y = (-3 * 4 + 4y * 4) + -3 -40 + 11y = (-12 + 16y) + -3 Reorder the terms: -40 + 11y = -12 + -3 + 16y Combine like terms: -12 + -3 = -15 -40 + 11y = -15 + 16y Solving -40 + 11y = -15 + 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. -40 + 11y + -16y = -15 + 16y + -16y Combine like terms: 11y + -16y = -5y -40 + -5y = -15 + 16y + -16y Combine like terms: 16y + -16y = 0 -40 + -5y = -15 + 0 -40 + -5y = -15 Add '40' to each side of the equation. -40 + 40 + -5y = -15 + 40 Combine like terms: -40 + 40 = 0 0 + -5y = -15 + 40 -5y = -15 + 40 Combine like terms: -15 + 40 = 25 -5y = 25 Divide each side by '-5'. y = -5 Simplifying y = -5
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